Fuzzy Krasner .m; n/-hyperrings

Recently, Krasner .m; n/-hyperrings were introduced and analyzed by Mirvakili and Davvaz. Krasner .m; n/-hyperrings are a suitable generalization of Krasner hyperrings. This paper concerns a relationship between fuzzy sets and hyperstructure theory. It is a continuation of the ideas presented by Davvaz et al. (2009) [B. Davvaz, P. Corsini, V. Leoreanu-Fotea, Fuzzy n-ary subpolygroups, Computers & Mathematics with Applications 57 (2009) 141 152]. The aim of the paper is to introduce the notion of a fuzzy hyperideal of a Krasner .m; n/-hyperring and to extend the fuzzy results to Krasner .m; n/- hyperrings.